Thanks for letting me know that F11 does fullscreen.
Managing the camera with a controller is not difficult with this game, because there are no challenges that require rapidly turning it.
It's true that you could pursue Xbox and PlayStation controller plug-in-play functionality, but I wouldn't recommend it, unless you can verify that the support truly is Xbox or PS-specific. If you use a generic model, the game will actually become less controller-flexible.
Some developers like to create keybinders, but I wouldn't recommend that either, because PC games don't actually need them.